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What is the Least Common Multiple of 67590 and 67606?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 67590 and 67606 is 2284744770.

LCM(67590,67606) = 2284744770

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Least Common Multiple of 67590 and 67606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67590 and 67606, than apply into the LCM equation.

GCF(67590,67606) = 2
LCM(67590,67606) = ( 67590 × 67606) / 2
LCM(67590,67606) = 4569489540 / 2
LCM(67590,67606) = 2284744770

Least Common Multiple (LCM) of 67590 and 67606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67590 and 67606. First we will calculate the prime factors of 67590 and 67606.

Prime Factorization of 67590

Prime factors of 67590 are 2, 3, 5, 751. Prime factorization of 67590 in exponential form is:

67590 = 21 × 32 × 51 × 7511

Prime Factorization of 67606

Prime factors of 67606 are 2, 7, 11, 439. Prime factorization of 67606 in exponential form is:

67606 = 21 × 71 × 111 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 67590 and 67606.

LCM(67590,67606) = 21 × 32 × 51 × 7511 × 71 × 111 × 4391
LCM(67590,67606) = 2284744770